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Every separable Banach space is isometric to a space of continuous nowhere differentiable functions
1995
Proceedings of the American Mathematical Society
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We prove the result stated in the title; that is, every separable Banach space is linearly isometric to a closed subspace E of the space of continuous functions on [0,1], such that every nonzero function in E is nowhere differentiable.
doi:10.1090/s0002-9939-1995-1328375-8
fatcat:ezgp3u5abnh75lvkz4dkrpykya